Question

4x-7y=-8 3x+2y=-6 i need to solve for x and y

Answer 1

$\sf Hello!$

$\sf Solve$ :-

(i) $\sf 4x - 7y = -8$
(ii) $\sf 3x + 2y = -6$

$\sf Add \:Eqn. \:(i) × 2\: and\: Eqn. \:(ii) × 7$ :-

$\sf 8x - 14y + 21x + 14y = - 16 - 42$

⇒ $\sf 29x = -58$

⇒ $\sf x = \dfrac{\sf -58}{\sf 29}$

⇒ $\boxed{\sf x = 2}$

$\sf Substitute\: the \:value\: of\: 'x'\: in \:Eqn.\: (ii)$ :-

$\sf 3x + 2y = -6$

⇒ $\sf 3(-2) + 2y = -6$

⇒ $\sf -6 + 2y = -6$

⇒ $\sf 2y = 6 - 6$

⇒ $\sf 2y = 0$

⇒ $\boxed{\sf y = 2}$

~ $\sf iCarl$